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Finding the Fourth Proportional to 144.73, 215.92 and 123.22

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Solution

The fourth proportional to 144.73, 215.92 and 123.22 is: 183.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.73 : 215.92 = 123.22 : x
  2. Step 2: Convert to fraction form
    144.73/215.92 = 123.22/x
  3. Step 3: Cross multiply
    144.73x = 215.92 × 123.22
  4. Step 4: Simplify right side
    144.73x = 26,605.66
  5. Step 5: Solve for x
    x = 26,605.66/144.73
  6. Step 6: Final answer
    x = 183.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.